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Katena32 [7]
3 years ago
7

How do I write parametric equations of the line 2x+3y=11​

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0

This line is in standard form, and the first thing we need to do is convert it into point - slope form or simply isolate y -

2x + 3y = 11, Subtract 2x from either side

3y = - 2x + 11, Divide either side by 3

y = ( - 2x + 11 ) / 3

To derive the parametric equation say x = t -

y = ( - 2t + 11 ) / 3,

or in other words

<u><em>Solution = y = ( 11 - 2t ) / 3</em></u>

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Sociologists say that 85% of married women claim that their husband's mother is the biggest bone of contention in their marriage
hoa [83]

Answer:

(A) 0.377,

(B) 0.000,

(C) 0.953,

(D) 0.047

Step-by-step explanation:

We assume that having a bone of intention means not liking one's Mother-in-Law

(A) P(all six dislike their Mother-in-Law) = (85%)^6 = (.85)^6 = 0.377

(B) P(none of the six dislike their Mother-in-Law) =

(100% - 85%)^6 =

0.15^6 =

0.000

(C) P(at least 4 dislike their Mother-in-Law) =

P(exactly 4 dislike their Mother-in-Law) + P(exactly 5 dislike their Mother-in-Law) + P(exactly 6 dislike their Mother-in-Law) =

C(6,4) * (.85)^4 * (1-.85)^2 + C(6,5) * (.85)^5 * (.15)^1 + C(6,6) * (.85)^6 = (15) * (.85)^4 * (.15)^2 + (6) * (.85)^5 * .15 + (1) * (.85)^6 =

0.953

(D) P(no more than 3 dislike their Mother-in-Law) =

P(exactly 0 dislikes their Mother-in-Law) + P(exactly 1 dislikes her Mother) + P(exactly 2 dislike their Mother-in-Law) + P(exactly 3 dislike their Mother-in-Law) =

C(6,0) * (.85)^0 * (.15)^6 + C(6,1) * (.85)^1 * (.15)^5 + C(6,2) * (.85)^2 * (.15)^4 + C(6,3) * (.85)^3 * (.15)^3 =

(1)(1)(.15)^6 + (6)(.85)(.15)^5 + (15)(.85)^2 *(.15)^4 + (20)(.85)^3 * (.15)^3 =

0.047

3 0
3 years ago
Need help please and thank you
PolarNik [594]

Answer: A. 70.50

Step-by-step explanation:

So 350*0.11 is 38.50. Add the $32.00 and you get $70.50

3 0
3 years ago
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What is five sixths of forty two
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7 0
3 years ago
Write the following using algebraic notation, using the letter x for any unknown numbers:
Furkat [3]

Answer:

a) The  algebraic notation is     4 ( x -3 ) = 4x -3

b)  The algebraic notation is 2x +2

Step-by-step explanation:

<u><em>Explanation:-</em></u>

a)

Let 'x' be the number

Given 'x' is a number, subtract three

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